On a factorization of an iterated wreath product of permutation groups
We show that if each group of permutations (Gi, Mi), i ∈ N has a factorization then their infinite iterated wreath product ≀i₌₁∞Gi also has a factorization. We discuss some properties of this factorization and give examples.
Gespeichert in:
| Datum: | 2014 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2014
|
| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/153343 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On a factorization of an iterated wreath product of permutation groups / B. Bajorska, V. Sushchansky // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 14–26. — Бібліогр.: 12 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-153343 |
|---|---|
| record_format |
dspace |
| fulltext |
|
| spelling |
irk-123456789-1533432019-06-15T01:26:26Z On a factorization of an iterated wreath product of permutation groups Bajorska, B. Sushchansky, V. We show that if each group of permutations (Gi, Mi), i ∈ N has a factorization then their infinite iterated wreath product ≀i₌₁∞Gi also has a factorization. We discuss some properties of this factorization and give examples. 2014 Article On a factorization of an iterated wreath product of permutation groups / B. Bajorska, V. Sushchansky // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 14–26. — Бібліогр.: 12 назв. — англ. 1726-3255 2010 MSC:20E22, 20E18. http://dspace.nbuv.gov.ua/handle/123456789/153343 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We show that if each group of permutations (Gi, Mi), i ∈ N has a factorization then their infinite iterated wreath product ≀i₌₁∞Gi also has a factorization. We discuss some properties of this factorization and give examples. |
| format |
Article |
| author |
Bajorska, B. Sushchansky, V. |
| spellingShingle |
Bajorska, B. Sushchansky, V. On a factorization of an iterated wreath product of permutation groups Algebra and Discrete Mathematics |
| author_facet |
Bajorska, B. Sushchansky, V. |
| author_sort |
Bajorska, B. |
| title |
On a factorization of an iterated wreath product of permutation groups |
| title_short |
On a factorization of an iterated wreath product of permutation groups |
| title_full |
On a factorization of an iterated wreath product of permutation groups |
| title_fullStr |
On a factorization of an iterated wreath product of permutation groups |
| title_full_unstemmed |
On a factorization of an iterated wreath product of permutation groups |
| title_sort |
on a factorization of an iterated wreath product of permutation groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153343 |
| citation_txt |
On a factorization of an iterated wreath product of permutation groups / B. Bajorska, V. Sushchansky // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 14–26. — Бібліогр.: 12 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT bajorskab onafactorizationofaniteratedwreathproductofpermutationgroups AT sushchanskyv onafactorizationofaniteratedwreathproductofpermutationgroups |
| first_indexed |
2025-07-14T04:33:03Z |
| last_indexed |
2025-07-14T04:33:03Z |
| _version_ |
1837595449902497792 |